# Extensions 1→N→G→Q→1 with N=C23.D5 and Q=C4

Direct product G=N×Q with N=C23.D5 and Q=C4
dρLabelID
C4×C23.D5160C4xC2^3.D5320,836

Semidirect products G=N:Q with N=C23.D5 and Q=C4
extensionφ:Q→Out NdρLabelID
C23.D51C4 = C53C2≀C4φ: C4/C1C4 ⊆ Out C23.D5408+C2^3.D5:1C4320,29
C23.D52C4 = (C2×C20).D4φ: C4/C1C4 ⊆ Out C23.D5808-C2^3.D5:2C4320,30
C23.D53C4 = C23.3D20φ: C4/C1C4 ⊆ Out C23.D5408+C2^3.D5:3C4320,33
C23.D54C4 = C23.4D20φ: C4/C1C4 ⊆ Out C23.D5808-C2^3.D5:4C4320,34
C23.D55C4 = (C22×F5)⋊C4φ: C4/C1C4 ⊆ Out C23.D5408+C2^3.D5:5C4320,204
C23.D56C4 = (C22×C4)⋊F5φ: C4/C1C4 ⊆ Out C23.D5804C2^3.D5:6C4320,254
C23.D57C4 = C242F5φ: C4/C1C4 ⊆ Out C23.D5404C2^3.D5:7C4320,272
C23.D58C4 = C22⋊C4×F5φ: C4/C1C4 ⊆ Out C23.D540C2^3.D5:8C4320,1036
C23.D59C4 = D10⋊(C4⋊C4)φ: C4/C1C4 ⊆ Out C23.D540C2^3.D5:9C4320,1037
C23.D510C4 = C10.(C4×D4)φ: C4/C1C4 ⊆ Out C23.D580C2^3.D5:10C4320,1038
C23.D511C4 = C24.D10φ: C4/C2C2 ⊆ Out C23.D580C2^3.D5:11C4320,84
C23.D512C4 = C24.2D10φ: C4/C2C2 ⊆ Out C23.D580C2^3.D5:12C4320,85
C23.D513C4 = C22⋊C4×Dic5φ: C4/C2C2 ⊆ Out C23.D5160C2^3.D5:13C4320,568
C23.D514C4 = C24.3D10φ: C4/C2C2 ⊆ Out C23.D5160C2^3.D5:14C4320,571
C23.D515C4 = C24.4D10φ: C4/C2C2 ⊆ Out C23.D5160C2^3.D5:15C4320,572
C23.D516C4 = C24.46D10φ: C4/C2C2 ⊆ Out C23.D5160C2^3.D5:16C4320,573
C23.D517C4 = C24.62D10φ: C4/C2C2 ⊆ Out C23.D5160C2^3.D5:17C4320,837

Non-split extensions G=N.Q with N=C23.D5 and Q=C4
extensionφ:Q→Out NdρLabelID
C23.D5.1C4 = C22⋊C4.F5φ: C4/C1C4 ⊆ Out C23.D5808-C2^3.D5.1C4320,205
C23.D5.2C4 = Dic5.C42φ: C4/C1C4 ⊆ Out C23.D5160C2^3.D5.2C4320,1029
C23.D5.3C4 = C20⋊C8⋊C2φ: C4/C1C4 ⊆ Out C23.D5160C2^3.D5.3C4320,1034
C23.D5.4C4 = C23.(C2×F5)φ: C4/C1C4 ⊆ Out C23.D5160C2^3.D5.4C4320,1035
C23.D5.5C4 = D4×C5⋊C8φ: C4/C1C4 ⊆ Out C23.D5160C2^3.D5.5C4320,1110
C23.D5.6C4 = C5⋊C87D4φ: C4/C1C4 ⊆ Out C23.D5160C2^3.D5.6C4320,1111
C23.D5.7C4 = C202M4(2)φ: C4/C1C4 ⊆ Out C23.D5160C2^3.D5.7C4320,1112
C23.D5.8C4 = (C2×C40)⋊C4φ: C4/C2C2 ⊆ Out C23.D5804C2^3.D5.8C4320,114
C23.D5.9C4 = M4(2)⋊4Dic5φ: C4/C2C2 ⊆ Out C23.D5804C2^3.D5.9C4320,117
C23.D5.10C4 = C408C4⋊C2φ: C4/C2C2 ⊆ Out C23.D5160C2^3.D5.10C4320,347
C23.D5.11C4 = C55(C8×D4)φ: C4/C2C2 ⊆ Out C23.D5160C2^3.D5.11C4320,352
C23.D5.12C4 = D104M4(2)φ: C4/C2C2 ⊆ Out C23.D5160C2^3.D5.12C4320,355
C23.D5.13C4 = Dic52M4(2)φ: C4/C2C2 ⊆ Out C23.D5160C2^3.D5.13C4320,356
C23.D5.14C4 = C52C826D4φ: C4/C2C2 ⊆ Out C23.D5160C2^3.D5.14C4320,357
C23.D5.15C4 = C20.65(C4⋊C4)φ: C4/C2C2 ⊆ Out C23.D5160C2^3.D5.15C4320,729
C23.D5.16C4 = C4032D4φ: C4/C2C2 ⊆ Out C23.D5160C2^3.D5.16C4320,738
C23.D5.17C4 = C20.51(C4⋊C4)φ: C4/C2C2 ⊆ Out C23.D5160C2^3.D5.17C4320,746
C23.D5.18C4 = C20.37C42φ: C4/C2C2 ⊆ Out C23.D5160C2^3.D5.18C4320,749
C23.D5.19C4 = C40⋊D4φ: C4/C2C2 ⊆ Out C23.D5160C2^3.D5.19C4320,754
C23.D5.20C4 = C4018D4φ: C4/C2C2 ⊆ Out C23.D5160C2^3.D5.20C4320,755
C23.D5.21C4 = C20.42C42φ: trivial image160C2^3.D5.21C4320,728
C23.D5.22C4 = C8×C5⋊D4φ: trivial image160C2^3.D5.22C4320,736

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